We discuss about the initial value problem for the Vlasov equation in case of unbounded total mass. The problem strongly depends on the dimension d of the physical space and on the singularity of the interaction. In particular, for d = 3, the more singular the interaction, the faster must be the spatial decay at infinity of the initial distribution. We describe also an application which gives rise to a viscous friction model.
The Vlasov Equation with Infinite Mass / Cavallaro, Guido. - (2021), pp. 115-128. - SPRINGER INDAM SERIES. [10.1007/978-3-030-82946-9].
The Vlasov Equation with Infinite Mass
Cavallaro, Guido
2021
Abstract
We discuss about the initial value problem for the Vlasov equation in case of unbounded total mass. The problem strongly depends on the dimension d of the physical space and on the singularity of the interaction. In particular, for d = 3, the more singular the interaction, the faster must be the spatial decay at infinity of the initial distribution. We describe also an application which gives rise to a viscous friction model.File allegati a questo prodotto
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